Practice n1,2,3,4,5,6,7 p.310Chapter 3.3 Constructing Perpendiculars to a Line p.152-
Chapter 3.3 Classwork. Conjecture C-7 p.153 (enter perpendicular segment in the blank space).
Definition of altitude and altitudes in different triangles p.154.
Practice. #1-5 p.154. For class notes click on the link above. Homework assigned on 10.28 for 10.29.2009 problems Chapter 3.4 Constructing Angle Bisectors p.157
Conjecture C-8 p.157 (enter equidistant) in the blank space.
Practice Your Skills Lesson 3.4 #2-4. Chapter 3.5 (Constructing Parallel Lines) Slopes of Parallel and Perpendicular Lines (p.165-)
Parallel and Perpendicular Slope Properties (p.165). Study examples A and B on p.166.
Practice: p.167 #1-4, 7. Classroom theory notes link. Classroom practice notes link . Homework assigned on 10.30 for 11.02.2009 p.167 #8-10.
Hints: In #8 and #9 use slope=rise/run. Lines tilted to the left have a negative slope, lines tilted to the right have a positive slope. Compare the slopes, keeping in mind properties #1 and #2 on page 165. Then, recall properties of special quadrilaterals: trapezoid (p.62), parallelogram, or rectangle (p.63). If all slopes are different and none is a opposite reciprocal of at least one of them, you have an ordinary quadrilateral.
In # 10a find slopes for the lines HA, AN, VD, and DH using the slope formula on page 133. Then use the considerations above.
In 10b use the midpoint formula on page 36. Chapter 3.5 (Constructing Parallel Lines) Slopes of Parallel and Perpendicular Lines. Day 2 (p.165-)
#11 p.167. Determine slopes of the quadrilateral sides by using slope formula and by using the ratio rise/run after plotting the vertices on the grid paper.
November 05, 2009 Chapter 4.1 Triangle Sum Conjecture p. 198 Click here for Ch.4.1 Classroom Notes
Classwork. Read Investigation The Triangle Sum on p. 199 (we did it once in class).Triangle Sum Conjecture C-17 p.199 (add 180 degrees in the blank space with?);
Third Angle Conjecture C-18 p.200 (add is equal in measure to the third angle in the other triangle in the blank space with ?). Read example with solution on p.201. Practice. #2, 4, 6,7 p.201. For Conjectures' demonstrations click on the links below. Triangle Sum Conjecture Demonstration Third Angle Conjecture Demonstration Homework assigned on 11.05 for 11.06.2009
p.201 #5, p.202 #8
November 06, 2009 Chapter 4.2 Properties of Special Triangles p.204 Click here for Ch.4.2 Classroom Notes
Definitions: vertex angle, base angles, base, legs (p.204). Know the spelling of isosceles. Isosceles Triangle Conjecture (C-19) on page 205: If a triangle is isosceles, then its base angles are congruent. Converse of the Isosceles Triangle Conjecture (C-20) on page 206: If a triangle has two congruent angles, then it is an isosceles triangle. Practice: p.206 #1-3. For each problem make a sketch, write what is given and what you have to determine. Show calculations and explain (refer to corresponding conjectures) Homework assigned on 11.06 for 11.09.2009
November 09, 2009 Substitute November 10, 2009 Chapter 4.2 Writing LInear Equations p.210- Click here for Classroom Notes
Read examples A, B, and C on p.211. Practice: p.212 #1, 3, 4, 5, 6.
November 16, 2009 Chapter 4.3 Triangle Inequalities p.213-
Read Investigations 1-3 and fill in the the blank spaces with question marks: C-21 write greater than; C-22 write larger than the angle opposite the shorter side; C--23 write is equal to the sum of the measures of the remote interior angles.
Know the definitions of exterior angles, adjacent interior, and remote interior angles. Practice: p.216-217 #1-4, 7, 8, and 15. Conjecture C-21 Investigation Conjecture C-22 Investigation Conjecture C-23 Investigation Homework assigned on 11.16 for 11.17.2009 p.216-217 # 6, 9, 16
November 17, 2009 Chapter 4.4 Congruence Shortcuts p.219-
Know the definitions of included angle and included side p.219. For C-24 SSS Congruent Conjecture in the blank space with a question mark write the triangles are congruent. For C-25 SAS Congruence Conjecture in the blank space with a question mark write the triangles are congruent. Classwork #1-6 p.222. Homework assigned on 11.17 for 11.18.2009: #20 p.224.
December 10, 2009 Chapter 5.3 Kite Properties p.266
Start exploring properties of a kite using Cabri Geometry Jr on graphing calculators. Kite is a quadrilateral with exactly two distinct pairs of congruent consecutive angles.
The two angles between each pair of congruent sides of a kite are called vertex angles, the other pair are called nonvertex angles 9p.266) C-35 The nonvertex angles of a kite are congruent. C-36 The diagonals of a kite are perpendicular. C-37 The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal. C-38 The vertex angles of a kite are bisected by a diagonal.
Practice: p.269 #1,2. Homework assigned on 12.10. for 12.11.2009 p.270 n5.
December 14, 2009 Investigate Properties of Kites using Cabri Jr Geometry Chapter 5.4 Properties Of Midsegments p.273
C-42 (p.273) The three midsegments of a triangle divide it into four congruent triangles.
C-43 (p.274) A midsegment of a triangle is parallel to the third side and half the length of the third side.
C-44 (p.275) The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases.
December 22, 2009 Chapter 5.5 Properties of Parallelograms p.279- Parallelogram - quadrilateral in which opposite sides are parallel. Review concepts and vocabulary. The Parallelogram Cabri Jr Investigations on graphing calculators
After the investigations the conjectures should read the following:
C-45 The opposite angles of a parallelogram are congruent
C-46 The consecutive angles of a parallelogram are supplementary.
C-47 The opposite sides of a parallelogram are congruent.
C-48 The diagonals of a parallelogram bisect each other
January 04, 2010 Discuss Benchmark 2 (see December 17-18 above)
January 05, 2010 Chapter 5.6 Properties of Special Parallelograms p.287 Rhombus is a parallelogram in which all sides are congruent. Parallelogram is a quadrilateral in which opposite sides are parallel (have equal slope)
RHOMBUS DIAGONALS CONJECTURE C-50 (p.288). The diagonals of a rhombus are perpendicular and they bisect each other.
RHOMBUS ANGLES CONJECTURE C-51 (p.288). The diagonals of a rhombus bisect the angles of the rhombus. Rectangle - equilateral parallelogram.
RECTANGLE DIAGONALS CONJECTURE C-52 (p.289) The diagonals of a rectangle are congruent and bisect each other. Square - equiangular rhombus or Square - equilateral rectangle.
SQUARE DIAGONALS CONJECTURE C-53 (p.290) The diagonals of a square are congruent, perpendicular, and bisect each other.
Practice p.291 #14-16. Homework assigned on 01.05 for 01.06.2010 p.290 numbers 11, 12, 13
January 11, 2010 Chapter 6.1 Chord Properties p.306
Copy definitions of: circle, radius, diameter (p.67); congruent circles, concentric circles, arc of a circle, endpoints of the arc, semicircle, minor arc, major arc, arc measure, central angle (p.68);
Answers to the activity on top of the page 306: 1F, 2E, 3C, 4A, 5D, 6B, 7G, 8I, 9H. A central angle has its vertex at the center of the circle (Investigation 1 p.307) An inscribed angle has its vertex on the circle and its sides are chords (Investigation 1 p.307)
Read and understand conjectures on p.308-310.
C-54 (p.308) congruent; C-55 (p.308) intercepted arcs; C-56 (p.309) bisector; C-57 (p.309) equidistant; C-58 (p.310) passes through the center of the circle. Discovery practice using Cabri Cabri Jr Geometry on graphing calculators.
January 13, 2010 Chapter 6.2 Tangent Properties p.313 Conduct investigation on graphing calculator using Cabri Jr Geometry for C-59 and C-60. Tangent ia a line that intersects the circle only once. Chord is a line segment whose endpoints lie on the circle. Diameter is a chord that passes through the center of the circle. A diameter is the longest chord. Conduct investigations on graphing calculators using Cabri Jr geometry.
C-59 (p.313) A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
C-60 (p.314) Tangent segments to a circle from a point outside the circle are congruent.
Explore the definition of tangent segments on p.314 Tangent circles are two circles that are tangent to the same line at the same point.
They can be internally tangent or externally tangent (explore these definitions on top of page 315) Homework assigned on 01.13 for 01.14.2010 p.315 number 3. Homework part 2 p.315 numbers 4 and 5.
January 14, 2010 Chapter 6.3 Arcs and Angles p.319
An arc of a circle - two points on the circle and the continuous (unbroken) part of the circle between the two points.
A semicircle - arc of a circle whose endpoints are the endpoints of the diameter.
A minor arc is an arc of a circle that is smaller than a semicircle.
A major arc is an arc of a circle that is larger than a semicircle.
You find the arc measure by measuring the central angle.
A central angle has its vertex at the center of the circle, and sides passing through the endpoints of the arc (p.68)
An inscribed angle has its vertex on the circle and its sides are chords.
C-61 p.319 The measure of an angle inscribed in a circle is one-half the measure of the central angle.
C-62 p.320 Inscribed angles that intercept the same are congruent.
C-63 p.320 Angles inscribed in a semicircle are right angles. Homework assigned on 01.14 for 01.15.2010 numbers 5 and 6p.322
January 15, 2010 Chapter 6.3 Arcs and Angles Part 2.p.321
A quadrilateral inscribed in a circle is called a cyclic quadrilateral.
C-64 p.321 The opposite angles of a cyclic quadrilateral are supplementary (the sum is equal to 180 degrees). C-64 Investigation was conducted on graphing calculators using Cabri Jr Geometry.
C-65 p.321 Parallel lines intercept congruent arcs on a circle.
January 19, 2010 Chapter 6.5 The Circumference/Diameter Ratio p.331
The distance around a polygon is called the perimeter.
The distance around the circle is called the circumference (p.331)
The investigation of the conjectures is conducted on graphing calculatores using Cabri Jr Geometry.
C-66 p.332 If C is the circumference and d is a diameter of a circle, then there is a number such as ¶ (3.14) such that C = ¶d . If d = 2r where r is the radius, then C = 2¶r.
Practice: #1-6 p.333. Homework assigned on 01.19 for 01.20.2010 numbers 7,8,9,10 p.334
January 25-26, 2010 Chapter 8.1 Areas of Rectangles and Parallelograms p.410
The area of a plane figure is the measure of the region enclosed by the figure.
Any side of rectangles can be called a base.
A rectangles's height is the length of the side that is perpendicular to the base. C-75 p.411 The area of a rectangle is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the rectangle. An altitude is any segment from one side of a parallelogram perpendicular to a line through the opposite side. The length of the altitude is the height. C-76 p.412 The area of a parallelogram is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the paralleogram.
February 22, 2010 Chapter 9.2 The Converse of the Pythagorean Theorem p.468
Practice: p.470 #1-6; p.474 #1-4. Homework assigned on 02.22 for 02.23.2010 p.470 n.7 and 8 p.474 n.12 and 14.
April 13, 2010 Notes Chapter 11.4 Part 2
p. 588 C-97: A bisector of an angle in a triangle divides the opposite side into segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.
Practice: n.6-9 p.589
Chapter 3.3
Classwork. Conjecture C-7 p.153 (enter perpendicular segment in the blank space).
Definition of altitude and altitudes in different triangles p.154.
Practice. #1-5 p.154. For class notes click on the link above.
Homework assigned on 10.28 for 10.29.2009 problems
Chapter 3.4 Constructing Angle Bisectors p.157
Conjecture C-8 p.157 (enter equidistant) in the blank space.
Practice Your Skills Lesson 3.4 #2-4.
Chapter 3.5 (Constructing Parallel Lines) Slopes of Parallel and Perpendicular Lines (p.165-)
Parallel and Perpendicular Slope Properties (p.165). Study examples A and B on p.166.
Practice: p.167 #1-4, 7.
Classroom theory notes link.
Classroom practice notes link .
Homework assigned on 10.30 for 11.02.2009 p.167 #8-10.
Hints: In #8 and #9 use slope=rise/run. Lines tilted to the left have a negative slope, lines tilted to the right have a positive slope. Compare the slopes, keeping in mind properties #1 and #2 on page 165. Then, recall properties of special quadrilaterals: trapezoid (p.62), parallelogram, or rectangle (p.63). If all slopes are different and none is a opposite reciprocal of at least one of them, you have an ordinary quadrilateral.
In # 10a find slopes for the lines HA, AN, VD, and DH using the slope formula on page 133. Then use the considerations above.
In 10b use the midpoint formula on page 36.
Chapter 3.5 (Constructing Parallel Lines) Slopes of Parallel and Perpendicular Lines. Day 2 (p.165-)
#11 p.167. Determine slopes of the quadrilateral sides by using slope formula and by using the ratio rise/run after plotting the vertices on the grid paper.
November 04, 2009. CONSTRUCTED RESPONSE 5
Constructed Response 5. Possible Solution.
November 05, 2009 Chapter 4.1 Triangle Sum Conjecture p. 198
Click here for Ch.4.1 Classroom Notes
Classwork. Read Investigation The Triangle Sum on p. 199 (we did it once in class).Triangle Sum Conjecture C-17 p.199 (add 180 degrees in the blank space with?);
Third Angle Conjecture C-18 p.200 (add is equal in measure to the third angle in the other triangle in the blank space with ?). Read example with solution on p.201. Practice. #2, 4, 6,7 p.201. For Conjectures' demonstrations click on the links below.
Triangle Sum Conjecture Demonstration
Third Angle Conjecture Demonstration
Homework assigned on 11.05 for 11.06.2009
p.201 #5, p.202 #8
November 06, 2009 Chapter 4.2 Properties of Special Triangles p.204
Click here for Ch.4.2 Classroom Notes
Definitions: vertex angle, base angles, base, legs (p.204). Know the spelling of isosceles.
Isosceles Triangle Conjecture (C-19) on page 205: If a triangle is isosceles, then its base angles are congruent.
Converse of the Isosceles Triangle Conjecture (C-20) on page 206: If a triangle has two congruent angles, then it is an isosceles triangle.
Practice: p.206 #1-3. For each problem make a sketch, write what is given and what you have to determine. Show calculations and explain (refer to corresponding conjectures)
Homework assigned on 11.06 for 11.09.2009
November 09, 2009 Substitute
November 10, 2009 Chapter 4.2 Writing LInear Equations p.210-
Click here for Classroom Notes
Read examples A, B, and C on p.211. Practice: p.212 #1, 3, 4, 5, 6.
November 12, 2009 Chapter 4.2 Writing Linear Equations. Determine Slopes of the Lines.
Click here for November 12 Classroom Notes
Alg 1 Practice Workbook Ch.5.2
November 13, 2009 Chapter 4.2 Writing Linear Equations. Determine Slopes of the Lines. Day 2(3).
Click here for November 13 Classroom Notes
Alg 1 Practice Workbook Ch.5.4
November 16, 2009 Chapter 4.3 Triangle Inequalities p.213-
Read Investigations 1-3 and fill in the the blank spaces with question marks: C-21 write greater than; C-22 write larger than the angle opposite the shorter side; C--23 write is equal to the sum of the measures of the remote interior angles.
Know the definitions of exterior angles, adjacent interior, and remote interior angles. Practice: p.216-217 #1-4, 7, 8, and 15.
Conjecture C-21 Investigation
Conjecture C-22 Investigation
Conjecture C-23 Investigation
Homework assigned on 11.16 for 11.17.2009 p.216-217 # 6, 9, 16
November 17, 2009 Chapter 4.4 Congruence Shortcuts p.219-
Know the definitions of included angle and included side p.219. For C-24 SSS Congruent Conjecture in the blank space with a question mark write the triangles are congruent. For C-25 SAS Congruence Conjecture in the blank space with a question mark write the triangles are congruent. Classwork #1-6 p.222.
Homework assigned on 11.17 for 11.18.2009: #20 p.224.
November 18, 2009 Number 6 Constructed Response
The Constructed Response Answer
November 19, 2009 Chapter 4.5 Are There Other Congruence Shortcuts p.225-
For C-26 ASA Congruence Conjecture p.225 and in C-27 SAA Conguence Conjecture in blank spaces with question marks write the triangles are congruent.
Work on problems #1-6 p.227, #13 and 15 p.228
Homework assigned on 11.19 for 11.20.2009
p.228 problem 10
p.228 problem 11
p.228 problem 12
November 20, 2009 First Benchmark results
November 23 and 24, 2009 Chapter 4.6 Corresponding Parts of Congruent Triangles p. 230
Definition of CPCTC p.230 (top). Read examples A and B on p.230.
Practice: p.231 #1-2.
November 25, 2009 Geom Constructed Response 7
Possible Answer to the Constructed Response 7
November 30, 2009 Chapter 4.8 Proving Isosceles Triangle Conjectures p.242
Vertex Angle Conjecture C-28, p.242 In an isosceles triangle, the bisector of the vertex angle ia also the altitude and the median to the base.
Equilateral/Equiangular Triangle Conjecture C-29, p.243
Every angle triangle is equiangular, and, conversely, every equiangular triangle is equilateral.
Geom Sketch 5 C-28 Investigation
Geom Sketch 5 C-29 Investigation
Practice: p.243 #1-3, p.245 #11
Homework assigned on 11.30 for 12.01.2009 Ch.4.8 Computer Generated
Solutions to the homework problems
December 01, 2009 Chapter 4 Review
December 02, 2009 Chapter 4 Review Geometry Constructed Response 8
Copy of constructed response 8
December 04, 2009 Chapter 4 Discovering and Proving Triangle Properties Test
December 07, 2009 Chapter 5.1 Polygon Sum Conjecture p.256
Recall some facts about polygons on p.54.
Conjectures: C-30 (p.256) blank space - 360 degrees; C-31 (p.256) blank space - 540 degrees; C-32 (p.257) blank space - 180(n-2).
Practice: p.257 # 31, 4, 5
Homework assigned on 12.07 for 12.08.2009 p.257 2, 3; p.258 6, 7
p.257 number 3
p.258 number 6
Number 2 p.257
December 08, 2009 Chapter 5.2 Exterior Angles of a Polygon p.260
Definition of an exterior angle p.260. For Conjecture C-33 p.261 enter 360 degrees in blank space. For Conjecture C-34 Equiangular Polygon Conjecture p.261 enter 189-360/n,
(180(n-2))/n in blank space.
Practice: p.262 #4, 5, and 6 (optional)
Homework assigned on 12.08 for 12.09.2009 p.262 7.
December 09, 2009 9th Constructed Response
December 10, 2009 Chapter 5.3 Kite Properties p.266
Start exploring properties of a kite using Cabri Geometry Jr on graphing calculators.
Kite is a quadrilateral with exactly two distinct pairs of congruent consecutive angles.
The two angles between each pair of congruent sides of a kite are called vertex angles, the other pair are called nonvertex angles 9p.266)
C-35 The nonvertex angles of a kite are congruent.
C-36 The diagonals of a kite are perpendicular.
C-37 The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
C-38 The vertex angles of a kite are bisected by a diagonal.
Practice: p.269 #1,2.
Homework assigned on 12.10. for 12.11.2009 p.270 n5.
December 11, 2009 Chapter 5.3 Kite and Trapezoid Properties p.266
December 14, 2009 Investigate Properties of Kites using Cabri Jr Geometry
Chapter 5.4 Properties Of Midsegments p.273
C-42 (p.273) The three midsegments of a triangle divide it into four congruent triangles.
C-43 (p.274) A midsegment of a triangle is parallel to the third side and half the length of the third side.
C-44 (p.275) The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the bases.
December 15, 2009 Investigate Properties of Isosceles Trapezoid using Cabri Jr Geometry on Graphing Calculators.
Describe the Investigations.
Preclass Quiz on Properties of Kite
Homework Assigned on 12.15 for 12.16. 2009 p.275 n.3 p.276 n.5 and 6
December 17-18, 2009. 2nd Geometry Benchmark.
December 22, 2009 Chapter 5.5 Properties of Parallelograms p.279-
Parallelogram - quadrilateral in which opposite sides are parallel.
Review concepts and vocabulary.
The Parallelogram Cabri Jr Investigations on graphing calculators
After the investigations the conjectures should read the following:
C-45 The opposite angles of a parallelogram are congruent
C-46 The consecutive angles of a parallelogram are supplementary.
C-47 The opposite sides of a parallelogram are congruent.
C-48 The diagonals of a parallelogram bisect each other
December 23, 2009 Chapter 5.5 Part 2 Properties of Parallelograms. Practice
January 04, 2010 Discuss Benchmark 2 (see December 17-18 above)
January 05, 2010 Chapter 5.6 Properties of Special Parallelograms p.287
Rhombus is a parallelogram in which all sides are congruent.
Parallelogram is a quadrilateral in which opposite sides are parallel (have equal slope)
RHOMBUS DIAGONALS CONJECTURE C-50 (p.288). The diagonals of a rhombus are perpendicular and they bisect each other.
RHOMBUS ANGLES CONJECTURE C-51 (p.288). The diagonals of a rhombus bisect the angles of the rhombus.
Rectangle - equilateral parallelogram.
RECTANGLE DIAGONALS CONJECTURE C-52 (p.289) The diagonals of a rectangle are congruent and bisect each other.
Square - equiangular rhombus or Square - equilateral rectangle.
SQUARE DIAGONALS CONJECTURE C-53 (p.290) The diagonals of a square are congruent, perpendicular, and bisect each other.
Practice p.291 #14-16.
Homework assigned on 01.05 for 01.06.2010 p.290 numbers 11, 12, 13
Chapter 5 Discovering and Proving Polygon Properties Test Review Questions (Answers below in parts 1 and 2)
January 06, 2010 Chapter 5 Test Review Part 1 Answers
January 07, 2010 Chapter 5 Test Review Part 2 Answers
January 08, 2010 Chapter 5 Test. See Review with Solutions Above
January 11, 2010 Chapter 6.1 Chord Properties p.306
Copy definitions of: circle, radius, diameter (p.67);
congruent circles, concentric circles, arc of a circle, endpoints of the arc, semicircle, minor arc, major arc, arc measure, central angle (p.68);
Answers to the activity on top of the page 306: 1F, 2E, 3C, 4A, 5D, 6B, 7G, 8I, 9H.
A central angle has its vertex at the center of the circle (Investigation 1 p.307)
An inscribed angle has its vertex on the circle and its sides are chords (Investigation 1 p.307)
Read and understand conjectures on p.308-310.
C-54 (p.308) congruent; C-55 (p.308) intercepted arcs; C-56 (p.309) bisector; C-57 (p.309) equidistant; C-58 (p.310) passes through the center of the circle.
Discovery practice using Cabri Cabri Jr Geometry on graphing calculators.
January 12, 2010 Chapter 6.1 Chord Properties Part 2.
Practice n1,2,3,4,5,6,7 p.310
Homework assigned on 01.12 for 01.13.2010 p.317 number 20.
January 13, 2010 Chapter 6.2 Tangent Properties p.313
Conduct investigation on graphing calculator using Cabri Jr Geometry for C-59 and C-60.
Tangent ia a line that intersects the circle only once.
Chord is a line segment whose endpoints lie on the circle.
Diameter is a chord that passes through the center of the circle. A diameter is the longest chord.
Conduct investigations on graphing calculators using Cabri Jr geometry.
C-59 (p.313) A tangent to a circle is perpendicular to the radius drawn to the point of tangency.
C-60 (p.314) Tangent segments to a circle from a point outside the circle are congruent.
Explore the definition of tangent segments on p.314
Tangent circles are two circles that are tangent to the same line at the same point.
They can be internally tangent or externally tangent (explore these definitions on top of page 315)
Homework assigned on 01.13 for 01.14.2010 p.315 number 3.
Homework part 2 p.315 numbers 4 and 5.
January 14, 2010 Chapter 6.3 Arcs and Angles p.319
An arc of a circle - two points on the circle and the continuous (unbroken) part of the circle between the two points.
A semicircle - arc of a circle whose endpoints are the endpoints of the diameter.
A minor arc is an arc of a circle that is smaller than a semicircle.
A major arc is an arc of a circle that is larger than a semicircle.
You find the arc measure by measuring the central angle.
A central angle has its vertex at the center of the circle, and sides passing through the endpoints of the arc (p.68)
An inscribed angle has its vertex on the circle and its sides are chords.
C-61 p.319 The measure of an angle inscribed in a circle is one-half the measure of the central angle.
C-62 p.320 Inscribed angles that intercept the same are congruent.
C-63 p.320 Angles inscribed in a semicircle are right angles.
Homework assigned on 01.14 for 01.15.2010 numbers 5 and 6 p.322
January 15, 2010 Chapter 6.3 Arcs and Angles Part 2.p.321
A quadrilateral inscribed in a circle is called a cyclic quadrilateral.
C-64 p.321 The opposite angles of a cyclic quadrilateral are supplementary (the sum is equal to 180 degrees). C-64 Investigation was conducted on graphing calculators using Cabri Jr Geometry.
C-65 p.321 Parallel lines intercept congruent arcs on a circle.
January 19, 2010 Chapter 6.5 The Circumference/Diameter Ratio p.331
The distance around a polygon is called the perimeter.
The distance around the circle is called the circumference (p.331)
The investigation of the conjectures is conducted on graphing calculatores using Cabri Jr Geometry.
C-66 p.332 If C is the circumference and d is a diameter of a circle, then there is a number such as ¶ (3.14) such that C = ¶d . If d = 2r where r is the radius, then C = 2¶r.
Practice: #1-6 p.333.
Homework assigned on 01.19 for 01.20.2010 numbers 7,8,9,10 p.334
January 20, 2010 Chapter 6.7 Arc Length p.341
The length of an arc, or arc length, is some fraction of the circumference of its circle.
C-67 The length of an arc equals the circumference times the measure of the central angle divided by 360 degrees.
Practice p.343 # 1-3.
Homework assigned on 01.20 for 01.20.2010 numbers 4 and 5 on p.343
January 21, 2010 Chapter 6 Review
January 22, 2010 Chapter 6 Test
January 25-26, 2010 Chapter 8.1 Areas of Rectangles and Parallelograms p.410
The area of a plane figure is the measure of the region enclosed by the figure.
Any side of rectangles can be called a base.
A rectangles's height is the length of the side that is perpendicular to the base.
C-75 p.411 The area of a rectangle is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the rectangle.
An altitude is any segment from one side of a parallelogram perpendicular to a line through the opposite side. The length of the altitude is the height.
C-76 p.412 The area of a parallelogram is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the paralleogram.
January 27, 2010 Chapter 8.2 Areas of Triangles, Trapezoids, and Kites p.417
C-77 p.417 The area of a triangle is given by the formula A=0.5bh, where A is the area, b is the length of the base, and h is the height of the triangle.
C-78 p.418 The area of a trapezoid is given by the formula A=0.5(b1+b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
C-79 p.418 The area of the kite is given by the formula A=0.5d1d2, where d1 and d2 are the lengths of the diagonals.
Homework assigned on 01.27 for 01.28.2010 p.419 n.8, 10, 12 (extra credit)
January 28, 2010 Chapter 8.4 Areas of Regular Polygons p.426
Definition of apothem p. 426
C-80 p.427 The area of a regular polygon is given by the formula A=0.5asn, where A is the area, a is the apothem, s is the length of each side, and n is the number of sides.
The length of each side times the number oof sides is the perimeter, P, so sn=P. Thus you can write the formula for the area as A=0.5aP
Homework assigned on 01.28 for 01.29.2010 p.427 n.5, 7, 8
January 29, 2010 Chapter 8.5 Area of Circles p.433
Homework assigned on 01.29 for 02.01. 2010
February 02 and 03, 2010 Chapter 8.6
Definition of a sector of a circle, segment of a circle, and annulus on p.437.
Examine the formulas and the drawings on the bottom of the page 437. Study examples on p.438.
Practice p.439 n.1, 4, 6.
Homework assigned on 02.02 for 02.03.2010 p.439 n. 3, 5, 8
February 03, 2010 Chapter 8.7 Surface Area
Definition of: surface area, bases, and lateral faces p.445; slant height p.447.
Homework assigned on 02.02. for 02.04.2010 p.450 n.2, 5, 6.
February 04, 2010 Chapter 8 Review Practice
p.455 #1-10, p.456 #19, 26, p.457 #29
Homework assigned on 02.04 for 02.05.2010 p.450 n.9
February 19, 2010 Chapter 9.1 The Theorem of Pythagoras p.462
Homework assigned on 02.19 for 02.22.2010 p.465 n.9 and 11
February 22, 2010 Chapter 9.2 The Converse of the Pythagorean Theorem p.468
Practice: p.470 #1-6; p.474 #1-4.
Homework assigned on 02.22 for 02.23.2010 p.470 n.7 and 8 p.474 n.12 and 14.
February 23, 2010 Chapter 9.3 Two Special Right Triangles p.475
Practice: p.477 #1-5
Homework assigned on 02.23 for 02.23.2010 p.477 n.6 p.478 n.8
March 01, 2010 Chapter 9.5 Distance in Coordinate Geometry p.486-
Distance formula C-86 p.487, equation of a circle C-87 p.488
Practice p.489 n1-3.
Homework assigned on 03.01 for 03.02.2010 p.489 n.5
March 04 Chapter 9 Pythagorean Theorem Review
March 05, 2010 Chapter 9 Test
March 08, 2010 Chapter 10.1 The Geometry of Solids p.504
Definitions (p.505-508): polyhedron, regular polyhedron, face, lateral face, edge, lateral edge, vetex, prism, right prism, oblique prism, base, height, altitude, tetrahedron, pyramid, sphere, hemisphere, great circle, cylinder, axis, right cylinder, oblique cylinder, cone, right cone, oblique cone.
March 09, 2010 Chapter 10.2 Volume of Prisms and Cylinders p.514
Homework assigned on 03.09 for 03.10.2010 p.518 n.7d, 7g, 7j.
March 11, 2010 Chapter 10.3 Volume of Pyramids and Cones p.522-
Solve problems #1-3 p.524, #(10a, d, g, j) p.525.
Homework assigned on 03.11 for 03.12.2010 p.524 n.4 and 6.
March 12, 2010 Ch 10.3 Practice p.525 n.10b, 10e, 10h, 10k.
March 15, 2010 Chapter 10.4 p.532 n.7, 8 p.533 n.11
March 16, 2010 Chapter 10.5 Displacementand Density Notes p.535-
March 17, 2010 Benchmark 3 Review Notes
March 22, 2010 Chapter 10.6 Volume of a Sphere p.542-
Solve problems 4-6 p.543
Homework assigned on 03.22 for 03.23.2010 p.555 n11,12
March 23, 2010 Chapter 10.7 Surface Area of a Sphere p.546-
Solve problems 5,6,10a p.548
Homework assigned on 03.23. for 03.24.2010 p.547 n.2,3 p.548 n.4
March 24, 2010 Chapter 10 Volume Review
March 30, 2010 Notes
April 05, 2010 Notes
April 08, 2010 Notes
April 09, 2010 Notes Chapter 11.3 Indirect Measurement with Similar Triangles p.581
Practice: n.1-3 p.582, n.5,7 p.583
Homework assigned on 04.09 for 04.12.2010 n.7 p.614, n.17 p.616
April 12, 2010 Notes Chapter 11.4 Corresponding Parts of Similar Triangles p.586-
C-96: If two triangles are similar, then the corresponding altitudes; medians; angle bisectors are proportional to to the corresponding sides.
Practice: p.588 n.1-2; p.589 n4,5
April 13, 2010 Notes Chapter 11.4 Part 2
p. 588 C-97: A bisector of an angle in a triangle divides the opposite side into segments whose lengths are in the same ratio as the lengths of the two sides forming the angle.
Practice: n.6-9 p.589
April 14, 2010 Notes Chapter 11.5 Proportions with Area and Volume
C-98 p.593. Practice p.595 n.1-3
Homework assigned on 04.14 for 04.15.2010 n.4,5 p.595
April 15, 2010 Notes Chapter 11.5 Part 2
April 16, 2010 Discuss Benchmark 3
April 19-20, 2010. Notes Chapter 11.6 Proportional Segments Between Parallel Lines (p.603-)
Homework assigned on 04.20 for 04.21.2010 p.608 n8,10
April 21, 2010 Notes Chapter 11.6 Part 2 Practice
Homework assigned on 04.20 for 04.21.2010 p.608 n.12
April 22-23, 2010 Chapter 11 Review
April 26-27, 2010 Chapter 11 Similarity Test
April 28, 2010 Chapter 12.1 Trigonometric Ratios p.620-
Key concepts (words) opposite/adjacent sides, ratio, sine, cosine, tangent.
April 29, 2010 Practice Trigonometric Ratios Notes
Homework assigned on 04.29 for 04.30.2010 p.625 n.9, 18, 19
April 30, 2010 Practice 2 Trigonometric Ratios Notes
Homework assigned on 04.30 for 05.03.2010 n.25, 27 Practice workbook ch12.1
May 03, 2010 Chapter 12.2 Problem Solving with Right Triangles Notes p.627
Homework assigned on 05.03 for 05.04.2010 p.62-629 n.2,8
May 04, 2010 Chapter 12.3 The Law of Sines Notes
Homework assigned on 05.04 for 05.05.2010 p.637 n7,8
May 05, 2010 Constructed Response
May 06, 2010 Chapter 12 Trigonometry Review
June 01, 2010 Geometry Final Review Part 1 Q1-11
June 02, 2010 Geometry Final Review Part 2
June 03, 2010 geometry Final Review Part 3
June 04, 2010 Geometry Final Review Part 4
June 07, 2010 Geometry Final Review Part 5